There is no telling which case or what kind of a case the Supreme Court will hear. If a case is simple, it never will get to the Supreme Court. Cases that reach the Supreme Court have gone through one or more appeals processes. Sometimes a appeal reaches the Supreme Court when a federal court of appeals has made a ruling different from another federal court of appeals. In that case, the supreme court is asked to certify an issue. That is a fancy term meaning to play referee. The Supreme Court certifies an issue when it takes up an issue where district courts of appeal have made different rulings concerning the application of the same law. (Sometimes the Supreme Court refuses to take up the issue. In that case it simply states, "Cert. Denied.") Normally, all cases that reach the Supreme Court have come from the Federal Courts of Appeal or the Highest State Court. However, the Supreme Court reserves the right to sit as a court of original jurisdiction. The last time the Supreme Court granted a writ of Habeas Corpus was 1924. It retains that right. I doubt if any member on the Supreme Court has any idea under what conditions that would happen. Still, it retains that right.
The Supreme Court hears three types of cases in the United States. Some of the cases they hear are appeals and original jurisdiction.
national significance
Appeals A+
Traffic cases are heard in traffic courts. Sometimes, these limited jurisdiction courts also hear low level misdemeanors.
Cases involving federal law.
speeding tickets
a lot there are many
In most cases, supreme courts are final appellate courts.
Cases where the decision hinges on the application of a constitutional provision are heard in Constitutional Courts. A good example of such cases would include all cases concerning Freedom of Speech as guaranteed in the First Amendment.
State courts handle civil and criminal matters that arise under state law.
Appeals A+
Chapter 18 section 2. The inferior courts those beneaththe Supreme court are the core of the federal judicial system, hearing nearly all of the cases tried in federal courts. they hear cases, both originally and on appeal, and both criminal and civil cases.
All cases, criminal and civil, originating within that particular courts jurisdiction.
Justice courts are generally courts of limited jurisdiction and usually handle less serious criminal offenses or civil cases involving relatively small monetary claims. A number of states have justice courts so answering your question specifically is not possible without knowing the state you are inquiring about. CourtReference.com is a good site that describes the types of cases heard in each state and court.